One of the waste products of a nuclear reactor is plutonium-239 (239Pu). This nucleus is radioactive and decays by splitting into a helium-4 nucleus and a uranium-235 nucleus (He + 235U), the latter of which is also radioactive and will itself decay some time later. The energy emitted in the plutonium decay is 8.40 × 10-13 J and is entirely converted into the kinetic energy of the helium and uranium nuclei. The mass of the helium nucleus is 6.68 × 10-27 kg, while that of the uranium is 3.92 × 10-25 kg (note that the ratio of the masses is 4 to 235). Part (a) Calculate the speed of the He, in meters per second, assuming the plutonium nucleus is originally at rest. VHe = || sin() cotan() cos() asin() tan() Π 7 8 HOME acos() E Λ 5 6 cosh() atan() acotan() sinh() tanh() cotanh() Degrees Radians * 1 2 3 + - 0 END VO BACKSPACE DEL CLEAR Submit Hint 10 Submission(s) Remaining Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. Part (b) Calculate the speed of the U, in meters per second, assuming the plutonium nucleus is originally at rest. Part (c) How much kinetic energy, in joules, does the He nucleus carry away? Part (d) How much kinetic energy, in joules, does the U nucleus carry away? Grade Summary Deductions 0% 100% Potential Submissions Attempt(s) Remaining: 10 0% Deduction per Attempt detailed view

A man of mass 80.0 kg walks down the aisle of an airplane at a speed of 1.00 m/s in the forward direction while the plane moves at a speed of 300 m/s relative to the earth. Find the man’s kinetic energy relative to (a) the plane; (b) the earth.

In this question you will use an energy approach to determine how the mass of a spring affects its motion. Normally we assume the spring has zero mass. But if we realize real springs have mass we can find the contribution to the kinetic energy of the system due to the motion of the spring. What makes this hard is that different parts of the spring move at different velocities. So, we must use a little calculus to find the result.Consider a vertical spring of mass m that has a mass M attached at its end. Let the position of the mass at the end of the spring relative to the point of attachment be given by Y and its velocity be given by V. a) What is the velocity of a small segment of the spring at the point of attachment?  b) What is the velocity of a small segment of the spring right next to the moving mass?  c) What is the velocity of a small segment of the spring that is exactly halfway between the top and the bottom?  d) Now let the mass of the spring be m and…

A mass of 700 kg moving at a speed of 36 km/h collides with a horizontally mounted spring of spring constant 6.26*10^3 N/m, what is the maximum compression (meters) of the spring?